Search a number
-
+
12042300141 = 3223296779379
BaseRepresentation
bin10110011011100011…
…01110101011101101
31011002020201020020100
423031301232223231
5144130312101031
65310540141313
7604263601524
oct131561565355
934066636210
1012042300141
11511a623373
122400b37839
13119bb552b1
148234ad4bb
154a7328de6
hex2cdc6eaed

12042300141 has 96 divisors (see below), whose sum is σ = 19348992000. Its totient is φ = 7192209024.

The previous prime is 12042300107. The next prime is 12042300163. The reversal of 12042300141 is 14100324021.

It is not a de Polignac number, because 12042300141 - 213 = 12042291949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042300181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31773690 + ... + 31774068.

It is an arithmetic number, because the mean of its divisors is an integer number (201552000).

Almost surely, 212042300141 is an apocalyptic number.

It is an amenable number.

12042300141 is a deficient number, since it is larger than the sum of its proper divisors (7306691859).

12042300141 is a wasteful number, since it uses less digits than its factorization.

12042300141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12042300141 its reverse (14100324021), we get a palindrome (26142624162).

The spelling of 12042300141 in words is "twelve billion, forty-two million, three hundred thousand, one hundred forty-one".

Divisors: 1 3 9 23 29 67 69 79 87 201 207 237 261 379 603 667 711 1137 1541 1817 1943 2001 2291 3411 4623 5293 5451 5829 6003 6873 8717 10991 13869 15879 16353 17487 20619 25393 26151 29941 32973 44689 47637 52693 76179 78453 89823 98919 121739 134067 153497 158079 228537 252793 269469 365217 402201 460491 474237 584039 688643 736397 758379 868289 1095651 1381473 1752117 2006047 2065929 2209191 2275137 2604867 3530431 5256351 6018141 6197787 6627573 7814601 10591293 16937131 18054423 19970647 31773879 46139081 50811393 58175363 59911941 138417243 152434179 174526089 179735823 415251729 523578267 1338033349 4014100047 12042300141